Pumas and Leopards can breed with each other to produce a Pumapard. This is interesting because they are not actually that closely related. The big cats(including Leopards) are part of Pantherinae but every other cat(including Pumas) are part of the Felinae. Pumas are actually much more closely related to Cheetahs than they are to Leopards and are even actually more closely related to domestic cats than to leopards.

Pantherine and Felinae split around 11 million years ago, humans split from Chimps around 6-7 million years ago. So in terms of time separation it makes more sense for humans to be able to cross breed with Chimps than for Pumas to breed with Cheetahs. This just yet again proves how much more advanced cats are than hominids, because cats have not needed to genetically diverge as much over time and so subfamilies can actually still breed amongst each other.